The value of Planck's constant is `6.63 xx 10^(-34)Js`. The velocity of light is `3.0 xx 10^(8)ms^(-1)`. Which value is closest to the wavelength in nanometers of a quantum of light with frequency `8xx10^(15)s^(-1)`?

Options

A. `3 xx 10^(7)`
B. `2 xx 10^(25)`
C. `5 xx 10^(-18)`
D. `4 xx 10^(1)`

Answer

D

Explanation

`E = hv = (hc)/(lambda) or lambda = (c)/(v)`
`rArr lambda = (3 xx 10^(8))/(8 xx 10^(15)) = 3.75 xx 10^(-8)m`
In nanometer `lambda = 3.75 xx 10`
Which is closest of `4 xx 10^(1)`.